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Question
Rationalize the denominator.
`12/(4sqrt3 - sqrt 2)`
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Solution
`12/(4sqrt3 - sqrt 2)`
`= 12/(4sqrt3 - sqrt 2) xx (4sqrt3 + sqrt 2)/(4sqrt3 + sqrt 2)`
`= (12 (4sqrt3 + sqrt 2))/((4sqrt3)^2 -(sqrt 2)^2) ...[(a+b)(a-b) = a^2 - b^2]`
`=(12 (4sqrt3 + sqrt 2))/(48 - 2)`
`= (12 (4sqrt3 + sqrt 2))/46`
`= (6 (4sqrt3 + sqrt 2))/23`
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